Strong measure zero sets without Cohen reals

DOI10.2307/2275146zbMath0794.03067arXivmath/9306214OpenAlexW2008178201MaRDI QIDQ4283070

Haim Judah, Martin Goldstern, Saharon Shelah

Publication date: 14 March 1994

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9306214

zbMATH Keywords

strong measure zero setsCohen realgeneralized Sierpinski set

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05)

Related Items (12)

HIGHER INDEPENDENCE ⋮ Perfectly meager sets and universally null sets ⋮ The covering number of the strong measure zero ideal can be above almost everything else ⋮ Generic constructions of small sets of reals ⋮ Generic existence of ultrafilters on the natural numbers ⋮ Relativized Schnorr tests with universal behavior ⋮ Continuous images of sets of reals ⋮ Strong measure zero in separable metric spaces and Polish groups ⋮ Borel’s conjecture and meager-additive sets ⋮ Strong measure zero in Polish groups ⋮ Borel Conjecture, dual Borel Conjecture, and other variants of the Borel Conjecture ⋮ Combinatorics of open covers. IV: Subspaces of the Alexandroff double of the unit interval

Cites Work

• Unnamed Item
• MA(\(\sigma\)-centered): Cohen reals, strong measure zero sets and strongly meager sets
• The Borel conjecture
• Isomorphism types of Aronszajn trees
• There may be simple \(P_{\aleph _ 1}\)- and \(P_{\aleph _ 2}\)-points and the Rudin-Keisler ordering may be downward directed
• Set theory. An introduction to independence proofs
• Iterated Cohen extensions and Souslin's problem

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